Instantaneous Work and Power Relations

Instantaneous Work and Power Relations

### Formula

$$dW=\vec{F}\cdot d\vec{s}$$

### Power Relation

$$P=\frac{dW}{dt}$$

### Terminologies

- dW → Small amount of work done.

- ds → Small displacement.

- P → Instantaneous power.

### Conditions / Special Cases

For variable force:

$$P=\vec{F}\cdot\vec{v}$$

### Usage

- Used when force or velocity changes continuously.